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3 years ago

Factor completely -5x 2 y + 10xy - 15xy 2

Mathematics

2 answers:

victus00 [196]3 years ago

8 0

-5x^2 y + 10xy - 15xy^2

= -5xy(x - 2 + 3y)

Tems11 [23]3 years ago

4 0

<h2>Answer:</h2>

The factorization is given by:

$5xy(-x+2-3y)$

or we may write it as:

$-5xy(x-2+3y)$

<h2>Step-by-step explanation:</h2>

We are asked to factor the algebraic expression which is given by:

$-5x^2y+10xy-15xy^2$

To factor a algebraic expression means to represent the expression in the most simplest form.

i.e. if the terms of the expression have a common factor then we take out common the factor and write the remaining expression in the parentheses.

By looking at the expression we observe that the all the three terms of the expression have a common multiple as: 5xy

Hence, the expression could be written as:

$-5x^2y+10xy-15xy^2=5xy(-x+2-3y)$

which could also be written as:

$-5x^2y+10xy-15xy^2=-5xy(x-2+3y)$

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If the whole number multiples of 36 that are both more than 36 and less than 36 squared, how many are squares of whole numbers?

seraphim [82]

This is different than the usual questions we get.

We're given a set of some multiples of 36:

$\{ 2\times 36, 3 \times 36, 4 \times 36, ..., 35 \times 36 \}$

We're asked how many of those are perfect squares.

36 is of course already a perfect square, so for the product to be a perfect square the other factor must be as well. So this is equivalent to:

How many perfect squares are there between 2 and 35?

Just listing them, there's $2^2, 3^2, 4^2 \textrm{ and } 5^2$

Answer: 4 squares

4 0

4 years ago

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Henry has a bag containing 39 letter tiles, some consonants, and some vowels. He selects a tile without looking and then replace

adoni [48]

Answer:

21 consonant tiles

Step-by-step explanation:

Henry has a bag containing 39 letter tiles, some consonants, and some vowels.

He selects a tile without looking and then replaces it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?

Step 1

We add up the number of tiles that he pulls out of the bag

= 7 consonant tiles + 6 vowel tiles

= 13 tiles

Step 2

We divide the total number of tiles in the bag by the total number of tiles that was pulled out of the bag

= 39 tiles ÷ 13 tiles

= 3

Step 3

The most likely number of consonant tiles in Henry's bag is calculated as:

3 × The number of consonant tiles that was pulled out of the bag.

Hence:

3 × 7 consonant tiles

= 21 consonant tiles.

Therefore, the most likely number of consonant tiles in Henry's bag is 21 consonant tiles.

4 0

3 years ago

NEED HELP!!!!

Furkat [3]

Answer: The first table has a slope of 5 and y-intercept of 20

Step-by-step explanation: You can find the y-intercept by looking for when X=0. When X=0 the y point would be the y intercept. In this case it is (0, 20).

You can find the slope by doing the change in y divided by the change in x. For this the change in y would be 60 and the change in x would be 12. This leaves 60/12 which is 5.

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3 years ago

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In a right angle,the altitude to a 6ft hypotenuse.Find the length of the altitude and each leg.

Nuetrik [128]

Answer:a=3.6 and b=4.8

Step-by-step explanation:(a^2)+(b^2)=(c^2)

Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.

To check work simply plug in your legs as a and b

(3.6^2)+(4.8^2)=(6^2)

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4 years ago

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Monica [59]

Answer:

37.68 i think

Step-by-step explanation:

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3 years ago